Time-frequency analysis on the adeles over the rationals
Journal article, Peer reviewed
Accepted version
View/ Open
Date
2019Metadata
Show full item recordCollections
- Institutt for matematiske fag [2350]
- Publikasjoner fra CRIStin - NTNU [37186]
Abstract
We show that the construction of Gabor frames in with generators in and with respect to time-frequency shifts from a rectangular lattice is equivalent to the construction of certain Gabor frames for over the adeles over the rationals and the group . Furthermore, we detail the connection between the construction of Gabor frames on the adeles and on with the construction of certain Heisenberg modules.